The Experts below are selected from a list of 26358 Experts worldwide ranked by ideXlab platform
Matthias Lienert - One of the best experts on this subject based on the ideXlab platform.
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on the description of subsystems in Relativistic hypersurface bohmian mechanics
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2014Co-Authors: Detlef Durr, Matthias LienertAbstract:A candidate for a realistic Relativistic Quantum Theory is the hypersurface Bohm–Dirac model. Its formulation uses a foliation of space–time into space-like hypersurfaces. In order to apply the Theory and to make contact with the usual Quantum formalism, one needs a framework for the description of subsystems. The presence of spin together with the foliation renders the subsystem description more complicated than in the non-Relativistic case with spin. In this paper, we provide such a framework in terms of an appropriate conditional density matrix and an effective wave function as well as clarify their relation, thereby generalizing previous subsystem descriptions in the non-Relativistic case.
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on the description of subsystems in Relativistic hypersurface bohmian mechanics
arXiv: Quantum Physics, 2014Co-Authors: Detlef Durr, Matthias LienertAbstract:A candidate for a realistic Relativistic Quantum Theory is the hypersurface Bohm-Dirac model. Its formulation uses a foliation of spacetime into space-like hypersurfaces. This structure may well arise from the universal wave function itself, entailing the Relativistic character of the Theory despite the appearance of a preferred foliation. However, to apply the Theory and to make contact with the usual Quantum formalism one needs a framework for the description of subsystems. The presence of spin together with the foliation renders the subsystem description more complicated as compared to the non-Relativistic case with spin. In this paper, we provide such a framework in terms of an appropriate conditional density matrix and an effective wave function as well as clarify their relation, thereby generalizing previous subsystem descriptions in the non-Relativistic case.
Masahito Ueda - One of the best experts on this subject based on the ideXlab platform.
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Relativistic einstein podolsky rosen correlation and bell s inequality
International Journal of Quantum Information, 2003Co-Authors: Hiroaki Terashima, Masahito UedaAbstract:We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the framework of Relativistic Quantum Theory to analyze a situation in which measurements are performed by moving observers. We point out that under certain conditions the perfect anti-correlation of an EPR pair of spins in the same direction deteriorates in the moving observers' frame due to the Wigner rotation, and show that the degree of the violation of Bell's inequality prima facie decreases with increasing velocity of the observers if the directions of the measurement are fixed. However, this does not imply a breakdown of non-local correlation since the perfect anti-correlation is maintained in appropriately chosen different directions. When considering moving frames we must take account of this Relativistic effect on the EPR correlation and on the violation of Bell's inequality for Quantum communication.
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Relativistic einstein podolsky rosen correlation and bell s inequality
arXiv: Quantum Physics, 2002Co-Authors: Hiroaki Terashima, Masahito UedaAbstract:We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the framework of Relativistic Quantum Theory to analyze a situation in which measurements are performed by moving observers. We point out that under certain conditions the perfect anti-correlation of an EPR pair of spins in the same direction is deteriorated in the moving observers' frame due to the Wigner rotation, and show that the degree of the violation of Bell's inequality prima facie decreases with increasing the velocity of the observers if the directions of the measurement are fixed. However, this does not imply a breakdown of non-local correlation since the perfect anti-correlation is maintained in appropriately chosen different directions. We must take account of this Relativistic effect in utilizing in moving frames the EPR correlation and the violation of Bell's inequality for Quantum communication.
Detlef Durr - One of the best experts on this subject based on the ideXlab platform.
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on the description of subsystems in Relativistic hypersurface bohmian mechanics
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2014Co-Authors: Detlef Durr, Matthias LienertAbstract:A candidate for a realistic Relativistic Quantum Theory is the hypersurface Bohm–Dirac model. Its formulation uses a foliation of space–time into space-like hypersurfaces. In order to apply the Theory and to make contact with the usual Quantum formalism, one needs a framework for the description of subsystems. The presence of spin together with the foliation renders the subsystem description more complicated than in the non-Relativistic case with spin. In this paper, we provide such a framework in terms of an appropriate conditional density matrix and an effective wave function as well as clarify their relation, thereby generalizing previous subsystem descriptions in the non-Relativistic case.
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on the description of subsystems in Relativistic hypersurface bohmian mechanics
arXiv: Quantum Physics, 2014Co-Authors: Detlef Durr, Matthias LienertAbstract:A candidate for a realistic Relativistic Quantum Theory is the hypersurface Bohm-Dirac model. Its formulation uses a foliation of spacetime into space-like hypersurfaces. This structure may well arise from the universal wave function itself, entailing the Relativistic character of the Theory despite the appearance of a preferred foliation. However, to apply the Theory and to make contact with the usual Quantum formalism one needs a framework for the description of subsystems. The presence of spin together with the foliation renders the subsystem description more complicated as compared to the non-Relativistic case with spin. In this paper, we provide such a framework in terms of an appropriate conditional density matrix and an effective wave function as well as clarify their relation, thereby generalizing previous subsystem descriptions in the non-Relativistic case.
Hiroaki Terashima - One of the best experts on this subject based on the ideXlab platform.
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Relativistic einstein podolsky rosen correlation and bell s inequality
International Journal of Quantum Information, 2003Co-Authors: Hiroaki Terashima, Masahito UedaAbstract:We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the framework of Relativistic Quantum Theory to analyze a situation in which measurements are performed by moving observers. We point out that under certain conditions the perfect anti-correlation of an EPR pair of spins in the same direction deteriorates in the moving observers' frame due to the Wigner rotation, and show that the degree of the violation of Bell's inequality prima facie decreases with increasing velocity of the observers if the directions of the measurement are fixed. However, this does not imply a breakdown of non-local correlation since the perfect anti-correlation is maintained in appropriately chosen different directions. When considering moving frames we must take account of this Relativistic effect on the EPR correlation and on the violation of Bell's inequality for Quantum communication.
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Relativistic einstein podolsky rosen correlation and bell s inequality
arXiv: Quantum Physics, 2002Co-Authors: Hiroaki Terashima, Masahito UedaAbstract:We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the framework of Relativistic Quantum Theory to analyze a situation in which measurements are performed by moving observers. We point out that under certain conditions the perfect anti-correlation of an EPR pair of spins in the same direction is deteriorated in the moving observers' frame due to the Wigner rotation, and show that the degree of the violation of Bell's inequality prima facie decreases with increasing the velocity of the observers if the directions of the measurement are fixed. However, this does not imply a breakdown of non-local correlation since the perfect anti-correlation is maintained in appropriately chosen different directions. We must take account of this Relativistic effect in utilizing in moving frames the EPR correlation and the violation of Bell's inequality for Quantum communication.
Woodford W Zachary - One of the best experts on this subject based on the ideXlab platform.
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foundations for Relativistic Quantum Theory i feynman s operator calculus and the dyson conjectures
arXiv: Mathematical Physics, 2004Co-Authors: Tepper L. Gill, Woodford W ZacharyAbstract:In this paper, we provide a representation Theory for the Feynman operator calculus. This allows us to solve the general initial-value problem and construct the Dyson series. We show that the series is asymptotic, thus proving Dyson's second conjecture for QED. In addition, we show that the expansion may be considered exact to any finite order by producing the remainder term. This implies that every nonperturbative solution has a perturbative expansion. Using a physical analysis of information from experiment versus that implied by our models, we reformulate our Theory as a sum over paths. This allows us to relate our Theory to Feynman's path integral, and to prove Dyson's first conjecture that the divergences are in part due to a violation of Heisenberg's uncertainly relations.
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foundations for Relativistic Quantum Theory i feynman s operator calculus and the dyson conjectures
Journal of Mathematical Physics, 2002Co-Authors: Tepper L. Gill, Woodford W ZacharyAbstract:In this paper, we provide a representation Theory for the Feynman operator calculus. This allows us to solve the general initial-value problem and construct the Dyson series. We show that the series is asymptotic, thus proving Dyson’s second conjecture for Quantum electrodynamics. In addition, we show that the expansion may be considered exact to any finite order by producing the remainder term. This implies that every nonperturbative solution has a perturbative expansion. Using a physical analysis of information from experiment versus that implied by our models, we reformulate our Theory as a sum over paths. This allows us to relate our Theory to Feynman’s path integral, and to prove Dyson’s first conjecture that the divergences are in part due to a violation of Heisenberg’s uncertainly relations.
